Ok, I will pay devil's advocate. Using the term "social construct" is a deliberate obfuscation. The term is vague and overly broad. It is usually meant to mean that it is something made up by society and therefore can be discarded.
I can also say that language is a social construct. Are you then going to tell me that there is no such thing as language? Would you still say that the English that I am writing is not English because it is a variant of what is spoken/written in Britain or Australia? Since there are loanwords in English that come from Chinese, like won ton, feng shui, ketchup, or yin yang, are you saying that English and Chinese are the same or that they both don't exist?
Just because there are variations in categories does not negate the categories. While I am tall for a Caucasian at 6'3", I tower head and shoulders over the Chinese when I am in China. Does me being tall for a Caucasian negate me being Caucasian? Does it make me Chinese? Does the fact that I don't exactly speak the English that my ancestors spoke negate my language as English?
Archaeologists and anthropologists can determine where someone originally lived by their bones. They know if they are sub-Saharan African, East Asian, Caucasian, Aboriginal, etc. just from their bones. They can also tell from genetic testing. There are genetic markers that are prevalent to different groups of humans, different cranial features, capacities, bone structures, muscular densities and even differing percentages of muscle types. These all evolved over tens of thousands of years of isolation. Either we accept evolution fully or we don't. We just don't accept evidence when it's convenient.
I find it fascinating the ways human beings have evolved to have such diverse races. I thought the progressives said that diversity is our strength, so why do they keep trying to homogenize us? Are we mixing and blending? Yes, and that does not negate our evolutionary past, it just makes variants in the different races.
Also, denying race does a great disservice to people. Health, in particular is at risk if doctors do not take race into account. If your race had a higher than average susceptibility to a certain disease, would you want your doctor to dismiss that information? It can mean life or death to the individual.
In closing, if race is a social construct, why am I constantly being berated for being a cisgendered white male by those who claim that they don't believe in race? How can they categorize me by the very social construct they abhor and claim is false?
P.S. putting up an obviously biased government granted abstract and another obviously biased magazine article is not science. Just because someone puts forth an argument, does not make it science. "Majority" held views also do not make science. Both article seem to say that if there is not 100% genetic isolation, there is no race. This is a reverse No True Scotsman argument. They are saying that if there is any genetic similarities between the races, there are no races. That is akin to saying if there are any similar words between languages, there are no languages.
They have an agenda and you are feeding into it.